They were both unharmed and were treated at a local hospital, with no indication they had witnessed the shooting, the newspaper quoted police as saying.

But neighbours who helped rescue the children, who are now in the custody of the Department of Children and Family Services, said the girl remembered hearing a loud noise and her mother crying.

"Our little angel was able to keep herself and her brother alive," said Los Angeles police captain Maureen Ryan, as reported by Fox 5.

"The baby is a miracle baby, and the little girl is a hero. She's an absolute hero."

The girl is described as bright by her pre-school teachers and is said to love to sing and dance.

Locals have raised $2,000 (£1,550) in donations for the children, along with baby supplies.

Police have reportedly been in touch with the mother's family in Japan.

:: Anyone feeling emotionally distressed or suicidal can call Samaritans for help on 116 123 or email jo@samaritans.org in the UK. In the US, call the Samaritans branch in your area or 1 (800) 273-TALK.